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Russian President Vladimir Putin and President-elect Donald Trump spoke over the phone Monday to discuss future efforts to improve the U.S.-Russian ties, the Kremlin and Trump's office said.

"President-elect Trump noted to President Putin that he is very much looking forward to having a strong and enduring relationship with Russia and the people of Russia," Trump's office said in a statement.

The Kremlin said that Putin congratulated Trump on his victory and expressed Russia's readiness to "establish a partner-like dialogue with the new administration on the basis of equality, mutual respect and non-interference in domestic relations."

Trump's office said that Putin called him to "offer his congratulations on winning a historic election."

"During the call, the two leaders discussed a range of issues including the threats and challenges facing the United States and Russia, strategic economic issues and the historical U.S.-Russia relationship that dates back over 200 years," it said.

In its readout of the phone call, the Kremlin added that both Putin and Trump agreed that the U.S.-Russian ties are in "extremely unsatisfactory" condition now.

"They spoke for active joint work to normalize ties and engage in constructive cooperation on a broad range of issues," it said, adding that Putin and Trump emphasized the need to develop trade and economic cooperation to give a strong basis to U.S.-Russia relations.

Putin and Trump also agreed on the need to combine efforts in the fight against their No. 1 enemy — "international terrorism and extremism" — and discussed the settlement of the Syrian crisis in that context, according to the Kremlin.

It said that Putin and Trump agreed to continue phone contacts and to plan a personal meeting in the future.

Trump said during the presidential campaign that he wants to be friends with Russia and join forces in the fight against the Islamic State group, yet he outlined few specifics as to how he would go about it. President Barack Obama began his presidency with a goal to "reset" ties with Russia, but they eventually plunged to the lowest point since the Cold War over the conflicts in Ukraine and Syria.